Which equation is the inverse of y = 7x2 – 10?

Question

asked Oct 19, 2017 7.9k views

2 Answers

Haisergeant · Answer 1 · 2017-10-24T14:45:39+0000

we have

y=7x^(2)-10

To find the inverse

Step 1

Exchanges the variables, x for y and y for x

x=7y^(2)-10

Step 2

Isolate the variable y

x=7y^(2)-10

7y^(2)=x+10

y^(2)= (x+10)/(7)

Square Root both sides

$y=(+/-)\sqrt{(x+10)/(7)}$

Step 3

Let

f(x)^(-1)=y

so

$f(x)^(-1)=(+/-)\sqrt{(x+10)/(7)}$

therefore

the answer is

The inverse is

$f(x)^(-1)=(+/-)\sqrt{(x+10)/(7)}$